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Finding the Fourth Proportional to 9,245.72, 12,758.90 and 5,266.74

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Solution

The fourth proportional to 9,245.72, 12,758.90 and 5,266.74 is: 7,267.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.72 : 12,758.90 = 5,266.74 : x
  2. Step 2: Convert to fraction form
    9,245.72/12,758.90 = 5,266.74/x
  3. Step 3: Cross multiply
    9,245.72x = 12,758.90 × 5,266.74
  4. Step 4: Simplify right side
    9,245.72x = 67,197,808.99
  5. Step 5: Solve for x
    x = 67,197,808.99/9,245.72
  6. Step 6: Final answer
    x = 7,267.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.